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4 years ago

13

Two angles are supplementary. one angle is 5 degrees more than 6 times the other. find the measure of each angle

1 answer:

podryga [215]4 years ago

7 0

Let x and y be the two angles;
We have the equation: x + y = 180 and x = 5 + 6y;
Then, 5 + 7y = 180;
Finally, 7y = 175;
y = 25 degrees;
x = 180 - 25;
x = 155 degrees;

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.

Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

$f(x) = 4x^2 - 3$

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

$f(3) = 4(3)^2 - 3$

$f(3) = 4(9) - 3$

$f(3) = 36 - 3$

$f(3) = 33$

To find f(9), replace x with 9 in the given function

$f(9) = 4(9)^2 - 3$

$f(9) = 4(81) - 3$

$f(9) = 324 - 3$

$f(9) = 321$

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Where,

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Plug in the values into the formula for average rate of change.

$= \frac{321 - 33}{9 - 3}$

$= \frac{288}{6}$

$= 44$

Average rate of change = 44

3 0

3 years ago